Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 2: Spin-zero Duffin-Kemmer-Petiau-like oscillator

TL;DR

This paper investigates the effects of non-inertial rotating frames and non-commutative geometry on a spin-zero DKP-like oscillator in cosmic string space-time, deriving energy spectra and solutions involving hypergeometric functions.

Contribution

It introduces a novel analysis of a DKP-like oscillator in non-commutative cosmic string space-time under rotation, deriving explicit energy eigenvalues and solutions.

Findings

Quantized energy eigenvalues are obtained.

Solutions involve confluent hypergeometric functions.

Non-commutativity influences the oscillator's spectrum.

Abstract

We study the non-inertial effects of a rotating frame on a spin-zero, Duffin-Kemmer-Petiau (DKP)-like oscillator in a cosmic string space-time with non-commutative geometry in the momentum space. The spin-zero DKP-like oscillator is obtained from the Klein-Gordon Lagrangian with a non-standard prescription for the oscillator coupling. We find that the solutions of the time-independent radial equation with the non-zero non-commutativity parameter parallel to the string are related to the confluent hypergeometric function. We find the quantized energy eigenvalues of the non-commutative oscillator.